Question

A cone-shaped container on a farm is used for storing animal feed. The container has a radius of 4 feet and a height of 12 feet.
1.603.19
2.16.76
3.201.06

Answer 1

To find the volume of the cone-shaped container, we can use the formula for the volume \( V \) of a cone:

\[
V = \frac{1}{3} \pi r^2 h
\]

where \( r \) is the radius and \( h \) is the height.

Given:
- \( r = 4 \) feet
- \( h = 12 \) feet

Now, substituting the values into the formula:

\[
V = \frac{1}{3} \pi (4)^2 (12)
\]
\[
= \frac{1}{3} \pi (16)(12)
\]
\[
= \frac{1}{3} \pi (192)
\]
\[
= 64\pi
\]

Using the approximation \( \pi \approx 3.14 \):

\[
V \approx 64 \times 3.14 \approx 200.96 \text{ cubic feet}
\]

So, the volume of the cone-shaped container is approximately **200.96 cubic feet**.

From the given options (1.603.19, 2.16.76, 3.201.06), it seems like there might be some formatting issues. The closest option is **3.201.06**, which might be an indication of the volume rounded or presented incorrectly.

If you need further assistance or clarification, please let me know!